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Finding the Third Proportional to 21,733.13 and 45,840.19

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Solution

The third proportional to 21,733.13 and 45,840.19 is: 96,687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,733.13 : 45,840.19 = 45,840.19 : x
  2. Step 2: Convert to fraction form
    21,733.13/45,840.19 = 45,840.19/x
  3. Step 3: Cross multiply
    21,733.13x = 45,840.19 × 45,840.19
  4. Step 4: Simplify right side
    21,733.13x = 2,101,322,790.04
  5. Step 5: Solve for x
    x = 2,101,322,790.04/21,733.13
  6. Step 6: Final answer
    x = 96,687.56

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.